((PLEASE HELP URGENT))
Points P, Q R, and S are collinear Point Q is between P and R. R is between Q and S, and PQ=RS, If PS = 27 and PR= 21, what is the value of QR? ​

Answer:

It is 3y = 4x + 10

Step-by-step explanation:

Let's first get the slope of the curve.

[ slope is the derivative of the equation ]

[tex] {x}^{2} - xy + {y}^{2} = 7[/tex]

introduce dy/dx :

[tex] \frac{d}{dx} ( {x}^{2} - xy + {y}^{2} ) = \frac{d}{dx} (7) \\ \\ 2x - (y + \frac{dy}{dx} ) + 2y \frac{dy}{dx} = 0[/tex]

make dy/dx the subject:

[tex]2x - y - \frac{dy}{dx} + 2y \frac{dy}{dx} = 0 \\ \\ 2y \frac{dy}{dx} - \frac{dy}{dx} = y - 2x \\ \\ \frac{dy}{dx} (2y - 1) = y - 2x \\ \\ \frac{dy}{dx} = \frac{y - 2x}{2y - 1} [/tex]

At point (-1, 2):

[tex] \frac{dy}{dx} = \frac{2 - 2( - 1)}{2(2) - 1} \\ \\ slope = \frac{4}{3} [/tex]

but a tangent has the same slope as the curve:

[tex]y = mx + c[/tex]

m is the slope

c is the y-intercept

At (-1, 2):

[tex]2 = ( - 1 \times \frac{4}{3} ) + c \\ \\ c = 2 + \frac{4}{3} \\ \\ c = \frac{10}{3} [/tex]

equation:

[tex]y = \frac{4}{3} x + \frac{10}{3} \\ \\ { \boxed{3y = 4x + 10}}[/tex]

Answer:

Step-by-step explanation:

Here is an other way:

z=f(x,y)=x²-xy+y²-7=0

[tex]\dfrac{\partial f(x,y)}{\partial x} =2x-y\\\\\dfrac{\partial f(x,y)}{\partial y} =-x+2y\\\\\\\dfrac{dy}{dx} =-\dfrac{\dfrac{\partial f(x,y)}{\partial x} }{\dfrac{\partial f(x,y)}{\partial y}} =-\dfrac{2x-y}{-x+2y} \\\\(-1;2)\\Slope=-\dfrac{2*(-1)-2}{1+2*2} =\dfrac{4}{5} \\\\y-2=\frac{4}{5} (x+1)\\\\\\\boxed{y=\dfrac{4x}{5} +\dfrac{14}{5} }[/tex]

Answer:

(45/v) hours

Step-by-step explanation:

that is the answer yep

Answer:

45/v =t

Step-by-step explanation:

Cuz the normal formula is

V= d/t

Therefore

t= d/v

And u know D = 45km so..

t=45/v

Answer:

C

Step-by-step explanation:

0.112 + (-16)/75 is equivalent to 0.112 - 16/75

Answer:

-2t + 1400

Step-by-step explanation:

If t represents the number of hours Lamar worked as a tutor, the number of hours he worked as a waiter can be represented by 100 - t.

Create an equation to represent the situation:

12t + 14(100 - t) = total earned

Simplify:

12t + 1400 - 14t = total earned

-2t + 1400 = total earned

So, the expression for the amount he earned is -2t + 1400

Answer:

Step-by-step explanation:

9.59277626267 is irrational.

Because it has many ifinite decimals

Answer:

c

Step-by-step explanation:

The answer is C. To find the answer all you need to do is divide the money per pound for each option until you find the lowest deal.

A is not a good deal because its about $3.14 for a pound

B is not a good deal because its about $3.33 per pound

D is not a good deal because its $3.50 per pound

C IS a good deal because it's $2.95 per pound

Answer:

c

Step-by-step explanation:

The answer is C. To find the answer all you need to do is divide the money per pound for each option until you find the lowest deal.

A is not a good deal because its about $3.14 for a pound

B is not a good deal because its about $3.33 per pound

D is not a good deal because its $3.50 per pound

C IS a good deal because it's $2.95 per pound

Points A , B and C are collinear......

Answer:

[tex] {a}^{4} {b}^{4} [/tex]

Step-by-step explanation:

[tex](ab) \times (ab) \times (ab) \times (ab)[/tex]

[tex] {a}^{1 + 1 + 1 + 1} {b}^{1 + 1 + 1 + 1} [/tex]

[tex] = {a}^{4} {b}^{4} [/tex]

Answer:

Answer: d is -25.5

Step-by-step explanation:

[tex]16d + 23 = 14(d - 2)[/tex]

open brackets:

[tex]16d + 23 = 14d - 28[/tex]

collect d terms together:

[tex]16d - 14d = - 28 - 23 \\ 2d = - 51 \\ d = - 25.5[/tex]

Answer:

B

Step-by-step explanation:

Answer:

x = 4, y = 3

Step-by-step explanation:

Equating corresponding coordinates , gives

2x = 8 ( divide both sides by 2 )

x = 4

and

3y = 9 ( divide both sides by 3 )

y = 3

Answer:

A = 7200(1.04)^3

A = 8099

Step-by-step explanation:

Answer:

Commutative property

Step-by-step explanation:

addition is commutative for example 2+3=3+2

multiplication is also commutative 3*2=2×3

Answer:

p=-7

Step-by-step explanation:

-11+10(p+10)=4-5(2p+11)

Firstly, expand the bracket

-11+10p+100=4-10p-55

Next, you collect like terms

10p+10p=4-55-100+11

20p=-140

Divide through by the coefficient of p

20p/20=-140/20

p=-7

Answer:

Step-by-step explanation:

DA,DG,DC are tangents of the circles so have the same length.

NB: F is the orthocenter of triangle HDF

Answer:

8744 cookies

Step-by-step explanation:

8 × 1093

.........

Answer:

>

Step-by-step explanation:

1,404,000 > 1,040,000

Answer:

hence the required midpoint of the given line is (9,5)

Answer:

[tex]( \frac{6 + 2}{2} +\frac{12 + 8}{2}) = ( \frac{8}{2} + \frac{20}{2} ) = (4 \: comma10)[/tex]

The answer is :(4, 10)

Answer:

18/5

Step-by-step explanation:

6/4 x 12/5

18/5

Answer:

[tex]2(3m + 6n) + 3(5m - 2n) + 5( - 6m + n) \\ [/tex]

open the brackets:

[tex] = (6m + 12n) + (15m - 6n) + ( - 30m + 5n) \\ [/tex]

group the coefficients of m and n in their brackets:

[tex] = (6 + 15 - 30)m + (12 - 6 + 5)n \\ [/tex]

then operate the brackets:

[tex] = - 9m + 11n[/tex]

Answer:

[tex]x < 0[/tex]

Step-by-step explanation:

[tex] - 4x - 8x > 0[/tex]

➡️ [tex] - 12x > 0[/tex]

➡️ [tex]x < 0[/tex]

Answer:

Step-by-step explanation:

-12 × 4

= -48

Answer:

[tex] - 12 \times 4 \\ \\ = - 48[/tex]

it's was helpful to you

Answer:

x = 18

Step-by-step explanation:

total money = money spent + money left

x = 7+11

x = 18

Answer:

6(10+4)

Step-by-step explanation:

The real question gives 78

Expand all the brackets in the option

and compare if it gives the answer real expression i.e 78

Answer:

Can u help me

Step-by-step explanation:

With my maths question